Equivariant virtual Betti numbers

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We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with equivariant homology for compact nonsingular sets, but is different in general. We lay emphasis on the particular case of $Z/2\Z$, and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef & Loeser.
20 pages, to appear in Ann. Inst. Fourier

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Algebraic Geometry, 14B05, 14P20, 14P25, 32S20

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http://salesiana.dossiersoluciones.com/handle/123456789/124405

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605220
 http://arxiv.org/abs/math/0605220

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arXiv